10112102022000 has 320 divisors, whose sum is σ = 35917336286208. Its totient is φ = 2427145600000.

The previous prime is 10112102021963. The next prime is 10112102022023. The reversal of 10112102022000 is 22020121101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5907517 + ... + 7424483.

Almost surely, 2^{10112102022000} is an apocalyptic number.

10112102022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10112102022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17958668143104).

10112102022000 is an abundant number, since it is smaller than the sum of its proper divisors (25805234264208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10112102022000 is a wasteful number, since it uses less digits than its factorization.

10112102022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517105 (or 1517089 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10112102022000 its reverse (22020121101), we get a palindrome (10134122143101).

The spelling of 10112102022000 in words is "ten trillion, one hundred twelve billion, one hundred two million, twenty-two thousand".